Home / 177,856-271,302

Finding the Third Proportional to 177,856 and 271,302

Calculator

Solution

The third proportional to 177,856 and 271,302 is: 413,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,856 : 271,302 = 271,302 : x
  2. Step 2: Convert to fraction form
    177,856/271,302 = 271,302/x
  3. Step 3: Cross multiply
    177,856x = 271,302 × 271,302
  4. Step 4: Simplify right side
    177,856x = 73,604,775,204
  5. Step 5: Solve for x
    x = 73,604,775,204/177,856
  6. Step 6: Final answer
    x = 413,844.77

Related Problems

Find third proportional to 88,928 and 135,651
Half scale
Find third proportional to 355,712 and 542,604
Double scale
Find third proportional to 177,858 and 271,305
Similar ratio
Find third proportional to 266,784 and 406,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.